Download A Glimpse at Hilbert Space Operators: Paul R. Halmos in by Sheldon Axler,Peter Rosenthal,Donald Sarason PDF

By Sheldon Axler,Peter Rosenthal,Donald Sarason

Paul Richard Halmos, who lived a lifetime of unbounded devotion to arithmetic and to the mathematical group, died on the age of ninety on October 2, 2006. This quantity is a memorial to Paul via operator theorists he encouraged. Paul’sinitial research,beginning together with his 1938Ph.D. thesis on the college of Illinois below Joseph Doob, was once in likelihood, ergodic concept, and degree thought. A shift happened within the Nineteen Fifties while Paul’s curiosity in foundations led him to invent a subject matter he termed algebraic good judgment, leading to a succession of papers on that topic showing among 1954 and 1961, and the publication Algebraic common sense, released in 1962. Paul’s ?rst papers in natural operator thought seemed in 1950. After 1960 Paul’s learn all in favour of Hilbert area operators, a topic he seen as enc- passing ?nite-dimensional linear algebra. past his examine, Paul contributed to arithmetic and to its neighborhood in manifold methods: as a well known expositor, as an leading edge instructor, as a tireless editor, and during unstinting carrier to the yankee Mathematical Society and to the Mathematical organization of the US. a lot of Paul’s in?uence ?owed at a private point. Paul had a real, uncalculating curiosity in humans; he constructed an incredible variety of friendships through the years, either with mathematicians and with nonmathematicians. a lot of his mathematical buddies, together with the editors ofthisvolume,whileabsorbingabundantquantitiesofmathematicsatPaul’sknee, realized from his recommendation and his instance what it potential to be a mathematician.

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